The options that are correct for the two of the given triangles are A, D, and E.
What is dilation?
Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.
The options that are correct about the two of the given triangles are:
A.) The pre-image of the triangle is shown by ΔTUS while the image of the triangle is shown by ΔT'U'S'. Also, since the point of dilation is P, therefore, it is close to the pre-image.
D.) Given the distance between the image and the dilation point is 2, the distance between the image and the dilation point is 12(10+2). Therefore, the scale factor will be 6 (12/2), which is larger than 1.
E.) The collinear points are those points that are on the same straight line. As it can be seen that the vertices of the triangles are in the same line. therefore, we can conclude that the vertices of the pre-image are collinear with the vertices of the image.
Hence, The options that are correct for the two of the given triangles are A, D, and E.
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